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82374310041880 = 23529317421532099
BaseRepresentation
bin10010101110101101000011…
…011111010001100100011000
3101210122220111022002011011111
4102232231003133101210120
541244110041332320010
6451110122520510104
723231230123356343
oct2256550337214430
9353586438064144
1082374310041880
112427982658557a
1292a483991b334
1336c6b3059696c
14164ad1b77b45a
1597cb28ca058a
hex4aeb437d1918

82374310041880 has 128 divisors (see below), whose sum is σ = 192795367320000. Its totient is φ = 31637780858880.

The previous prime is 82374310041833. The next prime is 82374310041929. The reversal of 82374310041880 is 8814001347328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154544071 + ... + 155076169.

Almost surely, 282374310041880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82374310041880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96397683660000).

82374310041880 is an abundant number, since it is smaller than the sum of its proper divisors (110421057278120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82374310041880 is a wasteful number, since it uses less digits than its factorization.

82374310041880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532877 (or 532873 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 82374310041880 in words is "eighty-two trillion, three hundred seventy-four billion, three hundred ten million, forty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 317 421 580 634 842 1160 1268 1585 1684 2105 2536 3170 3368 4210 6340 8420 9193 12209 12680 16840 18386 24418 36772 45965 48836 61045 73544 91930 97672 122090 133457 183860 244180 266914 367720 488360 532099 533828 667285 1064198 1067656 1334570 2128396 2660495 2669140 3870253 4256792 5320990 5338280 7740506 10641980 15430871 15481012 19351265 21283960 30861742 30962024 38702530 61723484 77154355 77405060 123446968 154308710 154810120 168675383 224013679 308617420 337350766 448027358 617234840 674701532 843376915 896054716 1120068395 1349403064 1686753830 1792109432 2240136790 3373507660 4480273580 4891586107 6496396691 6747015320 8960547160 9783172214 12992793382 19566344428 24457930535 25985586764 32481983455 39132688856 48915861070 51971173528 64963966910 71012336243 97831722140 129927933820 142024672486 195663444280 259855867640 284049344972 355061681215 568098689944 710123362430 1420246724860 2059357751047 2840493449720 4118715502094 8237431004188 10296788755235 16474862008376 20593577510470 41187155020940 82374310041880